Comparing Data Sets Using Statistics

A random survey of seventh- and eighth-grade students was conducted to find how many hours they spent reading per week. Of the two sets of data, which has the greater median?

• 7th grade

• 8th grade

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7.SP.3

Compare the variability of the seventh and eighth grade data sets.

• The seventh grade is more variable because the interquartile range is larger than the eighth grade.

• The eighth grade is more variable because their quartile 2, 3 and 4 are less than the seventh grade.

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7.SP.3

What conclusion can you draw about how much time seventh and eighth graders spend reading each week?

• All seventh graders read more than eighth graders.

• On average, seventh graders read more than eighth graders.

• The people who read the most are all in eighth grade.

• There is not enough information in a box plot to draw any conclusions.

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7.SP.3

Which group runs more kilometers per week, in general?

• soccer players

• basketball players

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7.SP.3

Which data set shows more variation?

• soccer players

• basketball players

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7.SP.3

Carter's data comparing the growth of plants using fertilizer or not using fertilizer is shown in the box plots. Use the measures of center from the box plots to make an inference about the data.

• The plants that received fertilizer have a higher median, so they grew better overall.

• The plants that did not receive fertilizer had a larger interquartile range, so they grew better overall.

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7.SP.3

Which inference can you make by comparing the measures of center?

• Every swimmer swam faster last year than they did this year.

• Most swimmers swam faster last year, on average, than they did this year.

• The swimmers swam faster this year, on average, than they did last year.

• Every swimmer swam faster this year than they did last year.

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7.SP.4

Peter randomly surveys people at a shopping center about the type of home they live in. If Peter randomly surveys another 300 people, how many would he expect to live in an apartment?

• 11

• 132

• 72

• 96

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7.SP.2

The school store did a study comparing the cost of a sweatshirt with the number of sweatshirts sold. The price was changed several times and the numbers of sweatshirts sold were recorded. The data are shown in the table. Which scatter plot represents the data?

• 
• 
• 
• 

A line of best fit has been drawn on the scatter plot. The relationship between these variables can be described as having

• a negative correlation

• no correlation

• a positive correlation

• zero correlation